Given ad BC = 1, we prove that the fraction A & # 178; + B & # 178 / / AC + BD is irreducible
Let m = a, n = B, u = am + BN = A2 + B2, v = cm + DN = AC + BD, then VA UC = n, UD VB = m, from ad BC = 1, (m, n) = (a, b) = 1
That is, am + BN, CM + DN
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